Question

Define the type of sequence below.

-2,0,2,4,6 ......

A. both arithmetic and geometric

B. arithmetic

C. neither arithmetic nor geometric

D. geometric

Answer 1

Option B - Arithmetic sequence

Explanation:

Given : Sequence -2,0,2,4,6 ......

To find : Define the type of sequence?

Solution :

There are two type of sequence arithmetic and geometric.

In arithmetic sequence the difference between the term is constant.

Difference are

`0-(-2)=2\\2-0=2\\4-2=2\\6-4=2`

So, There is a common difference.

Therefore, It is an arithmetic sequence.

In geometric sequence the ratio between the term is constant.

Ratio are

`(0)/(-2)=0`

`(2)/(0)=\infty`

`(4)/(2)=2`

`(6)/(4)=(3)/(2)`

So, There is no common ratio.

Therefore, It is not a geometric sequence.

Therefore, option B is correct.